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Finding the Third Proportional to 199,764 and 429,174

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Solution

The third proportional to 199,764 and 429,174 is: 922,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,764 : 429,174 = 429,174 : x
  2. Step 2: Convert to fraction form
    199,764/429,174 = 429,174/x
  3. Step 3: Cross multiply
    199,764x = 429,174 × 429,174
  4. Step 4: Simplify right side
    199,764x = 184,190,322,276
  5. Step 5: Solve for x
    x = 184,190,322,276/199,764
  6. Step 6: Final answer
    x = 922,039.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.